Using the formula V=B×h , what is the volume of a rectangular prism with a length of 10 2/5 in., a width of 8 1/2 in., and a height of 6 1/4 in.? Your answer should be a mixed number in simplest form.
To find the volume of the rectangular prism, multiply the length (10 2/5) by the width (8 1/2) and then multiply the result by the height (6 1/4):
Volume = (10 2/5) × (8 1/2) × (6 1/4)
Convert the mixed numbers to improper fractions:
10 2/5 = (5*10 + 2)/5 = 52/5
8 1/2 = (2*8 + 1)/2 = 17/2
6 1/4 = (4*6 + 1)/4 = 25/4
Now, multiply the fractions:
Volume = (52/5) × (17/2) × (25/4)
Volume = (52*17*25) / (5*2*4)
Volume = 22100 / 40
Volume = 552.5 cubic inches
Therefore, the volume of the rectangular prism is 552 1/2 cubic inches.